JEE Main Maths · Vector Algebra

Expansion of Sum of Vectors Squared

Expansion of Sum of Vectors Squared (Vector Algebra) was asked 3 times in 3 JEE Main shifts, 2020–2025, out of the 42 shifts Lumi analysed. 1 of the 3 had a numerical answer.

Times asked: 3; in 3 shifts
Years: 2020–2025
Usual format: Single correct; Application
Pattern: Frequent; repeats across shifts

How it is asked

Value from ratio of sum and difference magnitudes
Magnitude of vector expression from cross product

Difficulty

Easy 2Medium 1Hard 0

Where it sits

Chapter: Vector Algebra. Topic: Dot Product, 15 questions over 12 ideas.

All 3 questions

Newest first, each with its options and official answer.

7 Apr 2025, Shift 2 · Q15Let $\vec{a}$ and $\vec{b}$ be the vectors of the same magnitude such that…MediumSingle correct
30 Jan 2024, Shift 2 · Q18Let $\vec{a}$ and $\vec{b}$ be two vectors such that $|\vec{b}| = 1$ and $|\vec{b} \times \vec{a}| = 2$ . Then…EasySingle correct
6 Sep 2020, Shift 2 · Q74If $\vec{x}$ and $\vec{y}$ be two non-zero vectors such that $|\vec{x}+\vec{y}|=|\vec{x}|$ and $2\vec{x}+\lambda\vec{y}$ is perpendicular…EasyNumerical value